Answer:
An equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
Finding the slope between points
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.
substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form
Thus, an equation in the slope-intercept form will be:
9514 1404 393
Answer:
f(x) = x² +3
Step-by-step explanation:
The transformation
g(x) = a·f((x -c)/b) +d
represents a vertical expansion by a factor of 'a', a horizontal expansion by a factor of 'b' (before the horizontal shift), a horizontal (right) shift by 'c' units, and an upward shift by 'd' units.
You want only an upward shift of 3, so ...
g(x) = f(x) +3
For f(x) = x^2, the shifted function is ...
f(x) = x^2 +3
__
Other choices are ...
b. (x -3)^2 = right shift by 3
c. 3x^2 = vertical expansion by a factor of 3
d. (x +3)^2 = left shift by 3
Answer:
1819
Step-by-step explanation:
<h3>
Answer: C = -4</h3>
==================================================
Work Shown:
C(x+2) - (x+2)(x-2) = 0
(x+2)(C-(x-2)) = 0
(x+2)(C-x+2) = 0
x+2 = 0 or C-x+2 = 0
x = -2 or x = C+2
If we want one solution only, then we must make C+2 = -2 which solves to C = -4
If C = -4, then x = C+2 = -4+2 = -2 which matches with the first solution mentioned. If C is anything else but -4, then we'd have two different solutions (eg: C = 10 leads to x = C+2 = 12 as the other solution)
B.
15, 19, 20, 25, 25, 28, 29, 30, 35, 37, 38, 43
43-15=28
answer=28 is the range of the data set.
showed my work and everything, hope this helps!!
